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2004310304 = 251910730809
BaseRepresentation
bin111011101110111…
…0101100100100000
312011200110111211222
41313131311210200
513101100412204
6530515154212
7100445233163
oct16735654440
95150414758
102004310304
11939420aa7
1247b2a5968
1325c326239
1415029bada
15bae64abe
hex77775920

2004310304 has 48 divisors (see below), whose sum is σ = 4192624800. Its totient is φ = 940506624.

The previous prime is 2004310277. The next prime is 2004310327. The reversal of 2004310304 is 4030134002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49652 + ... + 80460.

It is an arithmetic number, because the mean of its divisors is an integer number (87346350).

Almost surely, 22004310304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096312400).

2004310304 is an abundant number, since it is smaller than the sum of its proper divisors (2188314496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004310304 is a wasteful number, since it uses less digits than its factorization.

2004310304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30945 (or 30937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2004310304 is about 44769.5242771241. The cubic root of 2004310304 is about 1260.8255075813.

Adding to 2004310304 its reverse (4030134002), we get a palindrome (6034444306).

The spelling of 2004310304 in words is "two billion, four million, three hundred ten thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 214 304 428 608 856 1712 2033 3424 4066 8132 16264 30809 32528 61618 65056 123236 246472 492944 585371 985888 1170742 2341484 3296563 4682968 6593126 9365936 13186252 18731872 26372504 52745008 62634697 105490016 125269394 250538788 501077576 1002155152 2004310304